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Finding the Third Proportional to 840,884 and 1,305,548

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Solution

The third proportional to 840,884 and 1,305,548 is: 2,026,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,884 : 1,305,548 = 1,305,548 : x
  2. Step 2: Convert to fraction form
    840,884/1,305,548 = 1,305,548/x
  3. Step 3: Cross multiply
    840,884x = 1,305,548 × 1,305,548
  4. Step 4: Simplify right side
    840,884x = 1,704,455,580,304
  5. Step 5: Solve for x
    x = 1,704,455,580,304/840,884
  6. Step 6: Final answer
    x = 2,026,980.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.